pith. sign in

arxiv: math/0312184 · v1 · submitted 2003-12-09 · 🧮 math.SP · math.CA

Half-inverse spectral problems for Sturm--Liouville operators with singular potentials

classification 🧮 math.SP math.CA
keywords half-inversespectralsturm--liouvilleoperatoroperatorspotentialsproblemreconstruction
0
0 comments X
read the original abstract

Half-inverse spectral problem for a Sturm--Liouville operator consists in reconstruction of this operator by its spectrum and half of the potential. We give the necessary and sufficient conditions for solvability of the half-inverse spectral problem for the class of Sturm--Liouville operators with singular potentials from the space $W^{-1}_2(0,1)$ and provide the reconstruction algorithm.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.